56286720 has 240 divisors, whose sum is σ = 223423200. Its totient is φ = 12828672.

The previous prime is 56286707. The next prime is 56286733. The reversal of 56286720 is 2768265.

56286720 = T₁₈₉ + T₁₉₀ + ... + T₇₀₀.

56286720 is a `hidden beast` number, since 5 + 628 + 6 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (56286707) and next prime (56286733).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161106 + ... + 161454.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 2^56286720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111711600).

56286720 is an abundant number, since it is smaller than the sum of its proper divisors (167136480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56286720 is a wasteful number, since it uses less digits than its factorization.

56286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56286720 is about 7502.4476006167. The cubic root of 56286720 is about 383.2380725273.

The spelling of 56286720 in words is "fifty-six million, two hundred eighty-six thousand, seven hundred twenty".